Question

✎❛ᴡʜᴇɴ ʟᴏᴀᴅᴇᴅ ᴡɪᴛʜ ʙʀɪᴄᴋs, ᴀ ʟᴏʀʀʏ ʜᴀs ᴀ ᴍᴀss ᴏғ 11600 ᴋɢ. ɪғ ᴛʜᴇ ᴍᴀss ᴏғ ᴛʜᴇ ʙʀɪᴄᴋs ɪs ᴛʜʀᴇᴇ ᴛɪᴍᴇs ᴛʜᴀᴛ ᴏғ ᴛʜᴇ ᴇᴍᴘᴛʏ ʟᴏʀʀʏ, ғɪɴᴅ ᴛʜᴇ ᴍᴀss ᴏғ ᴛʜᴇ ʙʀɪᴄᴋs.❜



➳ⁿᵒ ˢᵖᵃᵐˢ
➳ⁿᵒ ˡⁱⁿᵏˢ

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Answer 1

$\large\sf\underline{Given\::}$

• Mass of a lorry = 11600 kg

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$\large\sf\underline{To\:find\::}$

• Mass of the bricks

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$\large\sf\underline{Assumption\::}$

Let the :

• Mass of lorry be x.

Then according to the question :

Mass of the bricks

⠀⠀= 3 × mass of lorry = 3 × x = 3x .

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$\large\sf\underline{Solution\::}$

According to the question :

Mass of lorry + Mass of brick = 11600 kg

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• Substituting the assumed values

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$\sf\implies\:x+3x=11600$

$\sf\implies\:4x=11600$

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• Transposing 4 to the other side

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$\sf\implies\:x=\cancel{\frac{11600}{4}}$

$\large{\mathfrak\red{\implies\:x\:=\:2900\:kg}}$

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Now let's substitute the value of x in the assumed value :

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• Mass of lorry = x = $\small{\underline{\boxed{\mathrm\green{2900\:kg}}}}$

• Mass of brick = 3x = 3 × 2900 = $\small{\underline{\boxed{\mathrm\green{8700\:kg}}}}$

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$\large\sf\underline{Verifying\::}$

According to the question :

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Mass of lorry + Mass of brick = 11600 kg

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• Let's substitute the values we have got

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$\sf\implies\:2900+8700=11600$

$\sf\implies\:11600=11600$

$\small\fbox\blue{Hence\:Verified}$

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$\dag\:\underline{\sf So\:the\:required\:mass\:of\:brick\:is\:8700\:kg.}$

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!! Hope it helps !!

Answer 2

Weight of empty lorry= 11600÷4=2900 kg

(11600 kg includes=3 mass times that of empty lorry+mass of bricks)

Atq,Mass of bricks=3(mass of empty lorry)

=3(2900)=7800 kg

Weight of bricks is 7800 kg!